Existence and stability of periodic solutions for second-order semilinear differential equations with a singular nonlinearity

被引：0

作者：

Torres, Pedro J. ^{[1
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2007年 / 137卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that a periodically forced second-order equation with a singular nonlinearity in the origin with linear growth in infinity possesses a T-periodic stable solution for high values of the mean value of the forcing term. The method of proof combines a rescaling argument with the analysis of the first twist coefficient of the Birkhoff normal form for the Poincare map.

引用

页码：195 / 201

页数：7

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